Use the second fundamental theorem of calculus (and any integration techniques of your choice) to evaluate the following integrals.

Question

Use the second fundamental theorem of calculus (and any integration techniques of your choice)

to evaluate the following integrals.

∫¹₀ 2x³ + x dx

∫²₀ y²cos(y³ + 5) dy

∫⁷₁ (t² + 1)/(√2t³ + 6t) dt

Answer 1

#2) Let u = y^3 + 5. Then du = 3y^2du

#3) Let u = 2t^3 + 6t. Then du = (6t^2+6)du = 6(t^2+1)du